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Finding the Fourth Proportional to 697.06, 961.50 and 530.92

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Solution

The fourth proportional to 697.06, 961.50 and 530.92 is: 732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.06 : 961.50 = 530.92 : x
  2. Step 2: Convert to fraction form
    697.06/961.50 = 530.92/x
  3. Step 3: Cross multiply
    697.06x = 961.50 × 530.92
  4. Step 4: Simplify right side
    697.06x = 510,479.58
  5. Step 5: Solve for x
    x = 510,479.58/697.06
  6. Step 6: Final answer
    x = 732.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.